10106624468976 has 240 divisors, whose sum is σ = 30858090955776. Its totient is φ = 2841431104512.

The previous prime is 10106624468947. The next prime is 10106624468981. The reversal of 10106624468976 is 67986442660101.

It is a happy number.

It is a congruent number.

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, 147621985 + ... + 147690431.

Almost surely, 2^{10106624468976} is an apocalyptic number.

10106624468976 is a gapful number since it is divisible by the number (16) 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 10106624468976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15429045477888).

10106624468976 is an abundant number, since it is smaller than the sum of its proper divisors (20751466486800).

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

10106624468976 is a wasteful number, since it uses less digits than its factorization.

10106624468976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69476 (or 69463 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 10106624468976 in words is "ten trillion, one hundred six billion, six hundred twenty-four million, four hundred sixty-eight thousand, nine hundred seventy-six".