1016125600 has 144 divisors (see below), whose sum is σ = 2848317696. Its totient is φ = 346752000.

The previous prime is 1016125589. The next prime is 1016125601. The reversal of 1016125600 is 65216101.

It is a super-2 number, since 2×1016125600² = 2065022469950720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1016125601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2357385 + ... + 2357815.

It is an arithmetic number, because the mean of its divisors is an integer number (19779984).

Almost surely, 2^1016125600 is an apocalyptic number.

1016125600 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 1016125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424158848).

1016125600 is an abundant number, since it is smaller than the sum of its proper divisors (1832192096).

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

1016125600 is a wasteful number, since it uses less digits than its factorization.

1016125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1016125600 is about 31876.7250513600. The cubic root of 1016125600 is about 1005.3465633156.

The spelling of 1016125600 in words is "one billion, sixteen million, one hundred twenty-five thousand, six hundred".