6101070144 has 112 divisors (see below), whose sum is σ = 17604760320. Its totient is φ = 1853429760.

The previous prime is 6101070089. The next prime is 6101070161. The reversal of 6101070144 is 4410701016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181714 + ... + 212654.

It is an arithmetic number, because the mean of its divisors is an integer number (157185360).

Almost surely, 2^6101070144 is an apocalyptic number.

6101070144 is a gapful number since it is divisible by the number (64) 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 6101070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8802380160).

6101070144 is an abundant number, since it is smaller than the sum of its proper divisors (11503690176).

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

6101070144 is a wasteful number, since it uses less digits than its factorization.

6101070144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31048 (or 31038 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 6101070144 is about 78109.3473535658. The cubic root of 6101070144 is about 1827.2669789469.

The spelling of 6101070144 in words is "six billion, one hundred one million, seventy thousand, one hundred forty-four".