103211853840 has 240 divisors, whose sum is σ = 378849609216. Its totient is φ = 25068441600.

The previous prime is 103211853817. The next prime is 103211853869. The reversal of 103211853840 is 48358112301.

103211853840 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 118 + 538 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 103211853795 and 103211853804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243435 + ... + 515445.

Almost surely, 2^103211853840 is an apocalyptic number.

103211853840 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 103211853840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189424804608).

103211853840 is an abundant number, since it is smaller than the sum of its proper divisors (275637755376).

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

103211853840 is a wasteful number, since it uses less digits than its factorization.

103211853840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272078 (or 272069 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 103211853840 in words is "one hundred three billion, two hundred eleven million, eight hundred fifty-three thousand, eight hundred forty".