106250664240 has 240 divisors, whose sum is σ = 417284744448. Its totient is φ = 23721030144.

The previous prime is 106250664239. The next prime is 106250664251. The reversal of 106250664240 is 42466052601.

106250664240 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 5 + 0 + 6 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106250664240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106250664195 and 106250664204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28414 + ... + 461853.

Almost surely, 2^106250664240 is an apocalyptic number.

106250664240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106250664240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208642372224).

106250664240 is an abundant number, since it is smaller than the sum of its proper divisors (311034080208).

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

106250664240 is a wasteful number, since it uses less digits than its factorization.

106250664240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490336 (or 490327 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 106250664240 in words is "one hundred six billion, two hundred fifty million, six hundred sixty-four thousand, two hundred forty".