101150060352 has 168 divisors, whose sum is σ = 294634712736. Its totient is φ = 30602880000.

The previous prime is 101150060303. The next prime is 101150060383. The reversal of 101150060352 is 253060051101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 16282527 + ... + 16288737.

It is an arithmetic number, because the mean of its divisors is an integer number (1753778052).

Almost surely, 2^101150060352 is an apocalyptic number.

101150060352 is a gapful number since it is divisible by the number (12) 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 101150060352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147317356368).

101150060352 is an abundant number, since it is smaller than the sum of its proper divisors (193484652384).

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

101150060352 is a wasteful number, since it uses less digits than its factorization.

101150060352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6949 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 101150060352 in words is "one hundred one billion, one hundred fifty million, sixty thousand, three hundred fifty-two".