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106851492 = 223211475741
BaseRepresentation
bin1100101111001…
…10110010100100
321110001121200200
412113212302210
5204323221432
614334110500
72435136246
oct627466244
9243047620
10106851492
1155351120
122b94b430
13191a2247
1410296096
1595a9a7c
hex65e6ca4

106851492 has 72 divisors (see below), whose sum is σ = 300972672. Its totient is φ = 31684800.

The previous prime is 106851473. The next prime is 106851593. The reversal of 106851492 is 294158601.

It is a super-2 number, since 2×1068514922 = 22834482685252128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15742 + ... + 21482.

It is an arithmetic number, because the mean of its divisors is an integer number (4180176).

Almost surely, 2106851492 is an apocalyptic number.

106851492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106851492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150486336).

106851492 is an abundant number, since it is smaller than the sum of its proper divisors (194121180).

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

106851492 is a wasteful number, since it uses less digits than its factorization.

106851492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5809 (or 5804 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 106851492 is about 10336.8995351604. The cubic root of 106851492 is about 474.5262008707.

The spelling of 106851492 in words is "one hundred six million, eight hundred fifty-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2068 3102 4653 5741 6204 9306 11482 17223 18612 22964 34446 51669 63151 68892 103338 126302 189453 206676 252604 269827 378906 539654 568359 757812 809481 1079308 1136718 1618962 2273436 2428443 2968097 3237924 4856886 5936194 8904291 9713772 11872388 17808582 26712873 35617164 53425746 106851492