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106105100 = 22524912161
BaseRepresentation
bin1100101001100…
…00100100001100
321101122200211112
412110300210030
5204130330400
614310111152
72425610213
oct624604414
9241580745
10106105100
1154991372
122b64b4b8
1318ca05aa
141014007a
1594ad835
hex653090c

106105100 has 36 divisors (see below), whose sum is σ = 230823768. Its totient is φ = 42336000.

The previous prime is 106105073. The next prime is 106105117. The reversal of 106105100 is 1501601.

It is a super-2 number, since 2×1061051002 = 22516584492020000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48020 + ... + 50180.

Almost surely, 2106105100 is an apocalyptic number.

106105100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106105100 is an abundant number, since it is smaller than the sum of its proper divisors (124718668).

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

106105100 is a wasteful number, since it uses less digits than its factorization.

106105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 106105100 is about 10300.7329836279. The cubic root of 106105100 is about 473.4187121439.

Adding to 106105100 its reverse (1501601), we get a palindrome (107606701).

The spelling of 106105100 in words is "one hundred six million, one hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 491 982 1964 2161 2455 4322 4910 8644 9820 10805 12275 21610 24550 43220 49100 54025 108050 216100 1061051 2122102 4244204 5305255 10610510 21221020 26526275 53052550 106105100