102277000 has 128 divisors (see below), whose sum is σ = 288288000. Its totient is φ = 33177600.

The previous prime is 102276961. The next prime is 102277003. The reversal of 102277000 is 772201.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (102277003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132616 + ... + 133384.

It is an arithmetic number, because the mean of its divisors is an integer number (2252250).

Almost surely, 2^102277000 is an apocalyptic number.

102277000 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 102277000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144144000).

102277000 is an abundant number, since it is smaller than the sum of its proper divisors (186011000).

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

102277000 is a wasteful number, since it uses less digits than its factorization.

102277000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 102277000 is about 10113.2091840325. The cubic root of 102277000 is about 467.6554431765.

The spelling of 102277000 in words is "one hundred two million, two hundred seventy-seven thousand".