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106040980 = 22536714447
BaseRepresentation
bin1100101001000…
…00111010010100
321101112102212201
412110200322110
5204121302410
614304454244
72425222243
oct624407224
9241472781
10106040980
1154948181
122b61a384
1318c7a356
141012495a
15949983a
hex6520e94

106040980 has 24 divisors (see below), whose sum is σ = 223308288. Its totient is φ = 42297888.

The previous prime is 106040941. The next prime is 106040983. The reversal of 106040980 is 89040601.

It is a super-2 number, since 2×1060409802 = 22489378878720800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106040983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 14563.

It is an arithmetic number, because the mean of its divisors is an integer number (9304512).

Almost surely, 2106040980 is an apocalyptic number.

106040980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106040980 is an abundant number, since it is smaller than the sum of its proper divisors (117267308).

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

106040980 is a wasteful number, since it uses less digits than its factorization.

106040980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14823 (or 14821 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 106040980 is about 10297.6201134048. The cubic root of 106040980 is about 473.3233295953.

The spelling of 106040980 in words is "one hundred six million, forty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 367 734 1468 1835 3670 7340 14447 28894 57788 72235 144470 288940 5302049 10604098 21208196 26510245 53020490 106040980