106416251440 has 20 divisors (see below), whose sum is σ = 247417784784. Its totient is φ = 42566500544.

The previous prime is 106416251387. The next prime is 106416251467. The reversal of 106416251440 is 44152614601.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106416251440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106416251396 and 106416251405.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 665101492 + ... + 665101651.

Almost surely, 2^106416251440 is an apocalyptic number.

106416251440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106416251440 is an abundant number, since it is smaller than the sum of its proper divisors (141001533344).

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

106416251440 is a wasteful number, since it uses less digits than its factorization.

106416251440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330203156 (or 1330203150 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 106416251440 in words is "one hundred six billion, four hundred sixteen million, two hundred fifty-one thousand, four hundred forty".