101151820 has 96 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 29859840.

The previous prime is 101151767. The next prime is 101151833. The reversal of 101151820 is 28151101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27532 + ... + 30988.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2^101151820 is an apocalyptic number.

101151820 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 101151820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

101151820 is an abundant number, since it is smaller than the sum of its proper divisors (177701300).

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

101151820 is a wasteful number, since it uses less digits than its factorization.

101151820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 19.

The square root of 101151820 is about 10057.4261120826. The cubic root of 101151820 is about 465.9341762651.

It can be divided in two parts, 10115 and 1820, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 101151820 in words is "one hundred one million, one hundred fifty-one thousand, eight hundred twenty".