106412546040 has 64 divisors (see below), whose sum is σ = 319291752960. Its totient is φ = 28371868800.

The previous prime is 106412546021. The next prime is 106412546041. The reversal of 106412546040 is 40645214601.

It is a super-2 number, since 2×106412546040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106412545992 and 106412546010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106412546041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666037 + ... + 810203.

It is an arithmetic number, because the mean of its divisors is an integer number (4988933640).

Almost surely, 2^106412546040 is an apocalyptic number.

106412546040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106412546040 is an abundant number, since it is smaller than the sum of its proper divisors (212879206920).

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

106412546040 is a wasteful number, since it uses less digits than its factorization.

106412546040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150332 (or 150328 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 106412546040 in words is "one hundred six billion, four hundred twelve million, five hundred forty-six thousand, forty".