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106243712 = 274397199
BaseRepresentation
bin1100101010100…
…10011010000000
321101220201222022
412111102122000
5204144244322
614313101012
72430025301
oct625223200
9241821868
10106243712
1154a76523
122b6b7768
131901b703
14101787a8
1594d9942
hex6552680

106243712 has 64 divisors (see below), whose sum is σ = 219912000. Its totient is φ = 51093504.

The previous prime is 106243699. The next prime is 106243721. The reversal of 106243712 is 217342601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1062437122 = 22575452679077888, which contains 22 as substring.

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, 533789 + ... + 533987.

It is an arithmetic number, because the mean of its divisors is an integer number (3436125).

Almost surely, 2106243712 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 106243712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109956000).

106243712 is an abundant number, since it is smaller than the sum of its proper divisors (113668288).

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

106243712 is an equidigital number, since it uses as much as digits as its factorization.

106243712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 106243712 is about 10307.4590467292. The cubic root of 106243712 is about 473.6247750005.

The spelling of 106243712 in words is "one hundred six million, two hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 97 128 172 194 199 344 388 398 688 776 796 1376 1552 1592 2752 3104 3184 4171 5504 6208 6368 8342 8557 12416 12736 16684 17114 19303 25472 33368 34228 38606 66736 68456 77212 133472 136912 154424 266944 273824 308848 533888 547648 617696 830029 1095296 1235392 1660058 2470784 3320116 6640232 13280464 26560928 53121856 106243712