101853828 has 24 divisors (see below), whose sum is σ = 264065760. Its totient is φ = 33951240.

The previous prime is 101853827. The next prime is 101853893. The reversal of 101853828 is 828358101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101853792 and 101853801.

It is not an unprimeable number, because it can be changed into a prime (101853823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471438 + ... + 471653.

It is an arithmetic number, because the mean of its divisors is an integer number (11002740).

Almost surely, 2^101853828 is an apocalyptic number.

101853828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101853828 is an abundant number, since it is smaller than the sum of its proper divisors (162211932).

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

101853828 is a wasteful number, since it uses less digits than its factorization.

101853828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943104 (or 943096 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 101853828 is about 10092.2657515545. The cubic root of 101853828 is about 467.0095754051.

The spelling of 101853828 in words is "one hundred one million, eight hundred fifty-three thousand, eight hundred twenty-eight".