103707072 has 252 divisors, whose sum is σ = 364937040. Its totient is φ = 27574272.

The previous prime is 103707049. The next prime is 103707083. The reversal of 103707072 is 270707301.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1165204 + ... + 1165292.

Almost surely, 2^103707072 is an apocalyptic number.

103707072 is a gapful number since it is divisible by the number (12) 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 103707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182468520).

103707072 is an abundant number, since it is smaller than the sum of its proper divisors (261229968).

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

103707072 is a wasteful number, since it uses less digits than its factorization.

103707072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 103707072 is about 10183.6669230685. Note that the first 3 decimals coincide. The cubic root of 103707072 is about 469.8250019995.

The spelling of 103707072 in words is "one hundred three million, seven hundred seven thousand, seventy-two".