101137952 has 12 divisors (see below), whose sum is σ = 199115406. Its totient is φ = 50568960.

The previous prime is 101137951. The next prime is 101137961. The reversal of 101137952 is 259731101.

It can be written as a sum of positive squares in only one way, i.e., 69822736 + 31315216 = 8356^2 + 5596^2 .

It is not an unprimeable number, because it can be changed into a prime (101137951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1580249 + ... + 1580312.

Almost surely, 2^101137952 is an apocalyptic number.

It is an amenable number.

101137952 is a deficient number, since it is larger than the sum of its proper divisors (97977454).

101137952 is an equidigital number, since it uses as much as digits as its factorization.

101137952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160571 (or 3160563 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 101137952 is about 10056.7366476407. The cubic root of 101137952 is about 465.9128819688.

The spelling of 101137952 in words is "one hundred one million, one hundred thirty-seven thousand, nine hundred fifty-two".