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106834432 = 293153127
BaseRepresentation
bin1100101111000…
…10101000000000
321110000202021211
412113202220000
5204322200212
614333455504
72435035435
oct627425000
9243022254
10106834432
115533a321
122b941594
1319197553
141028db8c
1595a49a7
hex65e2a00

106834432 has 80 divisors (see below), whose sum is σ = 226271232. Its totient is φ = 50319360.

The previous prime is 106834423. The next prime is 106834457. The reversal of 106834432 is 234438601.

It is a super-2 number, since 2×1068344322 = 22827191721525248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 106834394 and 106834403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841153 + ... + 841279.

Almost surely, 2106834432 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 106834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113135616).

106834432 is an abundant number, since it is smaller than the sum of its proper divisors (119436800).

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

106834432 is an equidigital number, since it uses as much as digits as its factorization.

106834432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 106834432 is about 10336.0743031385. The cubic root of 106834432 is about 474.5009451077.

The spelling of 106834432 in words is "one hundred six million, eight hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 127 128 212 248 254 256 424 496 508 512 848 992 1016 1643 1696 1984 2032 3286 3392 3937 3968 4064 6572 6731 6784 7874 7936 8128 13144 13462 13568 15748 15872 16256 26288 26924 27136 31496 32512 52576 53848 62992 65024 105152 107696 125984 208661 210304 215392 251968 417322 420608 430784 503936 834644 841216 861568 1007872 1669288 1723136 2015744 3338576 3446272 6677152 13354304 26708608 53417216 106834432