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106994624 = 2611192421
BaseRepresentation
bin1100110000010…
…01101111000000
321110022220000212
412120021233000
5204342311444
614341133252
72436303452
oct630115700
9243286025
10106994624
1155439710
122b9ba228
1319222439
14102d22d2
1595d719e
hex6609bc0

106994624 has 84 divisors (see below), whose sum is σ = 245031768. Its totient is φ = 45964800.

The previous prime is 106994611. The next prime is 106994627. The reversal of 106994624 is 426499601.

It is a super-2 number, since 2×1069946242 = 22895699129802752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106994627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253934 + ... + 254354.

Almost surely, 2106994624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106994624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122515884).

106994624 is an abundant number, since it is smaller than the sum of its proper divisors (138037144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106994624 is a wasteful number, since it uses less digits than its factorization.

106994624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 106994624 is about 10343.8205707562. The cubic root of 106994624 is about 474.7379888339.

The spelling of 106994624 in words is "one hundred six million, nine hundred ninety-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 361 418 421 608 704 722 836 842 1216 1444 1672 1684 2888 3344 3368 3971 4631 5776 6688 6736 7942 7999 9262 11552 13376 13472 15884 15998 18524 23104 26944 31768 31996 37048 63536 63992 74096 87989 127072 127984 148192 151981 175978 254144 255968 296384 303962 351956 511936 607924 703912 1215848 1407824 1671791 2431696 2815648 3343582 4863392 5631296 6687164 9726784 13374328 26748656 53497312 106994624