10145660700 has 216 divisors, whose sum is σ = 34319720064. Its totient is φ = 2307312000.

The previous prime is 10145660683. The next prime is 10145660711. The reversal of 10145660700 is 706654101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3100065 + ... + 3103335.

Almost surely, 2^10145660700 is an apocalyptic number.

10145660700 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 10145660700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17159860032).

10145660700 is an abundant number, since it is smaller than the sum of its proper divisors (24174059364).

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

10145660700 is a wasteful number, since it uses less digits than its factorization.

10145660700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 10145660700 in words is "ten billion, one hundred forty-five million, six hundred sixty thousand, seven hundred".