106417457640 has 128 divisors (see below), whose sum is σ = 382011436800. Its totient is φ = 26195063040.

The previous prime is 106417457639. The next prime is 106417457677. The reversal of 106417457640 is 46754714601.

106417457640 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 1 + 74 + 576 + 4 + 0 = 666.

It is a super-2 number, since 2×106417457640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3775756 + ... + 3803835.

It is an arithmetic number, because the mean of its divisors is an integer number (2984464350).

Almost surely, 2^106417457640 is an apocalyptic number.

106417457640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106417457640 is an abundant number, since it is smaller than the sum of its proper divisors (275593979160).

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

106417457640 is a wasteful number, since it uses less digits than its factorization.

106417457640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579624 (or 7579614 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 106417457640 in words is "one hundred six billion, four hundred seventeen million, four hundred fifty-seven thousand, six hundred forty".