10648472100 has 288 divisors, whose sum is σ = 38264217600. Its totient is φ = 2231193600.

The previous prime is 10648472089. The next prime is 10648472129. The reversal of 10648472100 is 127484601.

It is a super-2 number, since 2×10648472100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1232596 + ... + 1241204.

Almost surely, 2^10648472100 is an apocalyptic number.

10648472100 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 10648472100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19132108800).

10648472100 is an abundant number, since it is smaller than the sum of its proper divisors (27615745500).

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

10648472100 is a wasteful number, since it uses less digits than its factorization.

10648472100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8683 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 10648472100 in words is "ten billion, six hundred forty-eight million, four hundred seventy-two thousand, one hundred".