1357357100 has 72 divisors (see below), whose sum is σ = 3252166848. Its totient is φ = 487604800.

The previous prime is 1357357097. The next prime is 1357357117. The reversal of 1357357100 is 17537531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83867 + ... + 98733.

It is an arithmetic number, because the mean of its divisors is an integer number (45168984).

Almost surely, 2^1357357100 is an apocalyptic number.

1357357100 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 1357357100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626083424).

1357357100 is an abundant number, since it is smaller than the sum of its proper divisors (1894809748).

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

1357357100 is a wasteful number, since it uses less digits than its factorization.

1357357100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14975 (or 14968 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 32.

The square root of 1357357100 is about 36842.3275594797. The cubic root of 1357357100 is about 1107.2135015028.

The spelling of 1357357100 in words is "one billion, three hundred fifty-seven million, three hundred fifty-seven thousand, one hundred".