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106372770 = 2357506537
BaseRepresentation
bin1100101011100…
…01111010100010
321102011022000020
412111301322202
5204212412040
614315534310
72431103460
oct625617242
9242138006
10106372770
1155054489
122b75a396
131906538a
14101ad830
159512cd0
hex6571ea2

106372770 has 32 divisors (see below), whose sum is σ = 291765888. Its totient is φ = 24313728.

The previous prime is 106372759. The next prime is 106372781. The reversal of 106372770 is 77273601.

It is an interprime number because it is at equal distance from previous prime (106372759) and next prime (106372781).

It is a super-2 number, since 2×1063727702 = 22630332394945800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253059 + ... + 253478.

It is an arithmetic number, because the mean of its divisors is an integer number (9117684).

Almost surely, 2106372770 is an apocalyptic number.

106372770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106372770 is an abundant number, since it is smaller than the sum of its proper divisors (185393118).

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

106372770 is a wasteful number, since it uses less digits than its factorization.

106372770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506554.

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 106372770 is about 10313.7175644866. The cubic root of 106372770 is about 473.8164736636.

The spelling of 106372770 in words is "one hundred six million, three hundred seventy-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 506537 1013074 1519611 2532685 3039222 3545759 5065370 7091518 7598055 10637277 15196110 17728795 21274554 35457590 53186385 106372770