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106140978 = 2327380777
BaseRepresentation
bin1100101001110…
…01010100110010
321101201112001100
412110321110302
5204133002403
614310545230
72426116626
oct624712462
9241645040
10106140978
1154a06319
122b668216
1318cb3a18
141014d186
1594b92a3
hex6539532

106140978 has 24 divisors (see below), whose sum is σ = 233125308. Its totient is φ = 34895232.

The previous prime is 106140977. The next prime is 106141019. The reversal of 106140978 is 879041601.

It can be written as a sum of positive squares in 2 ways, for example, as 90954369 + 15186609 = 9537^2 + 3897^2 .

It is a super-2 number, since 2×1061409782 = 22531814421592968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106140971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39075 + ... + 41702.

Almost surely, 2106140978 is an apocalyptic number.

106140978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106140978 is an abundant number, since it is smaller than the sum of its proper divisors (126984330).

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

106140978 is a wasteful number, since it uses less digits than its factorization.

106140978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80858 (or 80855 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106140978 is about 10302.4743629868. The cubic root of 106140978 is about 473.4720661688.

The spelling of 106140978 in words is "one hundred six million, one hundred forty thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 80777 161554 242331 484662 726993 1453986 5896721 11793442 17690163 35380326 53070489 106140978