2005157207100 has 144 divisors (see below), whose sum is σ = 5982555091968. Its totient is φ = 518250543360.

The previous prime is 2005157207083. The next prime is 2005157207107. The reversal of 2005157207100 is 17027515002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005157207107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 761962 + ... + 2142638.

It is an arithmetic number, because the mean of its divisors is an integer number (41545521472).

Almost surely, 2^{2005157207100} is an apocalyptic number.

2005157207100 is a gapful number since it is divisible by the number (20) 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 2005157207100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991277545984).

2005157207100 is an abundant number, since it is smaller than the sum of its proper divisors (3977397884868).

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

2005157207100 is a wasteful number, since it uses less digits than its factorization.

2005157207100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380844 (or 1380837 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The spelling of 2005157207100 in words is "two trillion, five billion, one hundred fifty-seven million, two hundred seven thousand, one hundred".