10146861900 has 360 divisors, whose sum is σ = 38166334976. Its totient is φ = 2283811200.

The previous prime is 10146861889. The next prime is 10146861941. The reversal of 10146861900 is 916864101.

It is a happy number.

10146861900 is a `hidden beast` number, since 1 + 0 + 1 + 468 + 6 + 190 + 0 = 666.

10146861900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10146861900² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3797565 + ... + 3800235.

Almost surely, 2^10146861900 is an apocalyptic number.

10146861900 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 10146861900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19083167488).

10146861900 is an abundant number, since it is smaller than the sum of its proper divisors (28019473076).

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

10146861900 is a wasteful number, since it uses less digits than its factorization.

10146861900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10146861900 in words is "ten billion, one hundred forty-six million, eight hundred sixty-one thousand, nine hundred".